96 
THEORIA RESIDUORUM BIQUADRATICORUM. 
Pertinet 
+ 2 
— 2 
ad complexum 
si h, secundum modulum 8, iit congruus ipsi 
A 
0 
0 
B 
2 a 
6 a 
C 
4 a 
4 a 
D 
6 a 
!2a 
Facile intelligitur, theoremata sic enunciata haud amplius pendere a conditione 
a = 1 (mod. 4), sed etiamnum valere, si fuerit a = 3 (mod. 4), dummodo condi 
tio altera, af~ h (mod.j?), conservetur. 
Aeque facile perspicitur, summam horum theorematum eleganter contrahi 
posse in formulam unicam, puta: 
si a et h positive accipiuntur, semper fit 
h iab - a iab ( m0( J ^ 
25. 
Videamus nunc, quatenus inductio classiticationem numeri 3 indigitet. Ta 
bula art. 1 1 ulterius continuata (semper adoptata radice primitiva minima), mon 
strat , + 3 pertinere 
ad complexum 
A 
pro 
B 
pro 
‘ 
C 
pro 
P 
a 
b 
P • 
a 
h 
P 
a 
h 
1 3 
— 
3 
j 2 
1 7 
+ 
1 
— 
4 
37 
+ 
1 
— 6 
109 
— 
3 
+ 10 
29 
+ 
5 
+ 
2 
61 
+ 
5 
— 6 
181 
+ 
9 
+ 10 
53 
— 
7 
+ 
2 
73 
— 
3 
— 8 
193 
— 
7 
—12 
89 
+ 
5 
— 
8 
97 
+ 
9 
+ 4 
2 29 
— 
1 5 
+ 2 
1 01 
+ 
1 
+ 
1 0 
157 
— 
1 1 
— 6 
277 
+ 
9 
+ 14 
113 
7 
— 
8 
241 
— 
15 
— 4 ! 
1 37 
— 
11 
— 
4 
1 97 
+ 
1 
— 
14 
233 
1 
T" 
13 
+ 
8 
257 
+ 
1 
— 
1 6 
269 
+ 
1 3 
+ 
10 
281 
+ 
5 
+ 
16 i 
293 
+ 
17 
+ 
2 i 
D pro 
P 
5 
4 1 
149 
+ 
+ 
17 31 + 13 
I b 
+ 2 
j— 4 
i + 10 
1+ 2